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Finding the Third Proportional to 140,288 and 197,328

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Solution

The third proportional to 140,288 and 197,328 is: 277,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,288 : 197,328 = 197,328 : x
  2. Step 2: Convert to fraction form
    140,288/197,328 = 197,328/x
  3. Step 3: Cross multiply
    140,288x = 197,328 × 197,328
  4. Step 4: Simplify right side
    140,288x = 38,938,339,584
  5. Step 5: Solve for x
    x = 38,938,339,584/140,288
  6. Step 6: Final answer
    x = 277,560.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.